On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics

A parametrization of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican, provide a common parameter space for these loci, and show that the Simpson moduli space M = M4m ± 1(ℙ2)...

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Bibliographic Details
Main Author: Iena Oleksandr
Format: Article
Language:English
Published: De Gruyter 2018-02-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0003